Milton's conjecture on the regularity of solutions to isotropic equations
Mimetic finite differences for elliptic problems
We developed a mimetic finite difference method for solving elliptic equations with tensor coefficients on polyhedral meshes. The first-order convergence estimates in a mesh-dependent norm are derived.
Mimetic finite differences for elliptic problems
We developed a mimetic finite difference method for solving elliptic equations with tensor coefficients on polyhedral meshes. The first-order convergence estimates in a mesh-dependent H1 norm are derived.
Mimetic schemes on non-uniform structured meshes.
Minimal Boundaries Enclosing A Given Volume.
Minimal Graphs in and
We construct geometric barriers for minimal graphs in We prove the existence and uniqueness of a solution of the vertical minimal equation in the interior of a convex polyhedron in extending continuously to the interior of each face, taking infinite boundary data on one face and zero boundary value data on the other faces.In , we solve the Dirichlet problem for the vertical minimal equation in a convex domain taking arbitrarily continuous finite boundary and asymptotic boundary data.We prove...
Minimal regularity solutions of nonlinear wave equations.
Minimal surfaces in pseudohermitian geometry
We consider surfaces immersed in three-dimensional pseudohermitian manifolds. We define the notion of (p-)mean curvature and of the associated (p-)minimal surfaces, extending some concepts previously given for the (flat) Heisenberg group. We interpret the p-mean curvature not only as the tangential sublaplacian of a defining function, but also as the curvature of a characteristic curve, and as a quantity in terms of calibration geometry. As a differential equation, the p-minimal surface equation...
Minimal surfaces PDE as a Monge-Ampère type equation.
Minimal tori in S4.
Minimalflächen mit polygonalem Rand.
Minimax characterization of solutions for a semi-linear elliptic equation with lack of compactness
Minimax principles for critical-point theory in applications to quasilinear boundary-value problems.
Minimax principles for lower semicontinuous functions and applications to nonlinear boundary value problems
Minimax theorems on manifolds via Ekeland variational principle.
Minimising convex combinations of low eigenvalues
We consider the variational problem inf{αλ1(Ω) + βλ2(Ω) + (1 − α − β)λ3(Ω) | Ω open in ℝn, |Ω| ≤ 1}, for α, β ∈ [0, 1], α + β ≤ 1, where λk(Ω) is the kth eigenvalue of the Dirichlet Laplacian acting in L2(Ω) and |Ω| is the Lebesgue measure of Ω. We investigate for which values of α, β every minimiser is connected.
Minimizers of Dirichlet functionals on the -torus and the weak KAM theory
Minimizing Oseen-Frank energy for nematic liquid crystals : algorithms and numerical results
Minoration du spectre des variétés hyperboliques de dimension 3
Soit une variété hyperbolique compacte de dimension 3, de diamètre et de volume . Si on note la -ième valeur propre du laplacien de Hodge-de Rham agissant sur les 1-formes coexactes de , on montre que et , où est une constante ne dépendant que de , et est le nombre de composantes connexes de la partie mince de . En outre, on montre que pour toute 3-variété hyperbolique de volume fini avec cusps, il existe une suite de remplissages compacts de , de diamètre telle que et .
Minoration du temps d'existence pour l'équation de Klein-Gordon non-linéaire en dimension 1 d'espace